Closed Timelike Curves in Flat Lorentz Spacetimes

Abstract

We consider the region of closed timelike curves (CTC's) in three-dimensional flat Lorentz spacetimes. The interest in this global geometrical feature goes beyond the purely mathematical. Such spacetimes may be considered lower-dimensional toy models of sourceless Einstein gravity or cosmology. In particular, our interest in this note will be to find the set free of CTC's for $E/<\gamma >$, where $E$ is modeled on Minkowski space and $\gamma$ is a Poincaré transformation. We describe the set free of CTC's where $\gamma$ is hyperbolic, parabolic and elliptic.

New version: some typos fixed and new comment after Proposition 4.1

References in corpus (2)

• Cosmic Strings and Chronology Protection
• One Particle Hilbertspace of 2+1 dimensional Gravity using Non commuting Coordinates

Cited by in corpus (1)

• Globally Hyperbolic Flat Spacetimes